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Finding the Fourth Proportional to 21,829.98, 30,112.25 and 13,328.22

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Solution

The fourth proportional to 21,829.98, 30,112.25 and 13,328.22 is: 18,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.98 : 30,112.25 = 13,328.22 : x
  2. Step 2: Convert to fraction form
    21,829.98/30,112.25 = 13,328.22/x
  3. Step 3: Cross multiply
    21,829.98x = 30,112.25 × 13,328.22
  4. Step 4: Simplify right side
    21,829.98x = 401,342,626.05
  5. Step 5: Solve for x
    x = 401,342,626.05/21,829.98
  6. Step 6: Final answer
    x = 18,384.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.